taylor expansion of erf(x)

how do you solve:

consider the so called error integral erf(x) for x ∈R:
erf(x)= 2/ (pi)^(1/2) integrate exp (-y) from x-x to x=0.
derive the first few terms in taylor expansion of erf(x) up to x^3. hint: use second fundamental theorem of calculus

consider the so called error integral erf(x) for x ∈R:
erf(x)= 2/ (pi)^(1/2) integrate exp (-y) from x-x to x=0.???
derive the first few terms in taylor expansion of erf(x) up to x^3. hint: use second fundamental theorem of calculus